The Phragmén-Lindelöf Principle
Canadian mathematical bulletin, Tome 24 (1981) no. 1, p. 121
Voir la notice de l'article provenant de la source Cambridge University Press
The theorem below is one version of the Phragmén-Lindelöf principle [4], which extends the maximum modulus theorem. The theorem has many applications, including the proof of a better-known but less general result [3], which is sometimes attributed to Phragmén and Lindelöf.
Humphries, Michael D. The Phragmén-Lindelöf Principle. Canadian mathematical bulletin, Tome 24 (1981) no. 1, p. 121. doi: 10.4153/CMB-1981-021-1
@article{10_4153_CMB_1981_021_1,
author = {Humphries, Michael D.},
title = {The {Phragm\'en-Lindel\"of} {Principle}},
journal = {Canadian mathematical bulletin},
pages = {121--121},
year = {1981},
volume = {24},
number = {1},
doi = {10.4153/CMB-1981-021-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-021-1/}
}
[1] 1. Conway, John B., Functions of One Complex Variable, 2nd Edition, Springer-Verlag, New York, 1978. Google Scholar
[2] 2. Hille, Einar, Analytic Function Theory, Vol. II, Ginn, New York, 1962. Google Scholar
[3] 3. Phragmén, E., Sur une extension d'un théorème classique de la théorie des fonctions, Acta Math., 28 (1962), 351-368. Google Scholar
[4] 4. Phragmén, E. and Lindelôf, Ernst, Sur une extension d'un principe classique de l'analyse, Acta Math., 31 (1962), 381-406. Google Scholar
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